(6)(8^x)=2e^{3x}

Lösung

(6) (8^{x}) = 2 e^{3 x}

x = - \frac{ln ( 3 )}{3 ( ln ( 2 ) - 1 )}

Dezimale

x = 1.19341 \dots

Schritte zur Lösung

(6) (8^{x}) = 2 e^{3 x}

Wende Exponentenregel an

ln (6) + x ln (8) = ln (2) + 3 x

Löse

ln (6) + x ln (8) = ln (2) + 3 x : x = - \frac{ln ( 3 )}{3 ( ln ( 2 ) - 1 )}

x = - \frac{ln ( 3 )}{3 ( ln ( 2 ) - 1 )}

A (x) = 500 (1.03)^{x}

4 9^{x + 3} = 7^{x^{2} - 3 x + 8}

8^{x} = 360000000

7^{q} = 49

2000 = 1000 e^{0.09 x}